Comment on On the uncertainty relations and squeezed states for the quantum mechanics on a circle
D A Trifonov · Journal of Physics A Mathematical and General · 2003
It is shown by examples that the position uncertainty on a circle, proposed recently by Kowalski and Rembieliński (2002 J. Phys. A:Math. Gen. 35 1405 ) is not consistent with the state localization. We argue that the relevant uncertainties and uncertainty relations (URs) on a circle are those based on the Gram–Robertson matrix. Several of these generalized URs are displayed and related criteria for squeezed states are discussed.